Household electricity is supplied in the form of alternating current that varies from 165 V to -165 V with a frequency of 50 cycles per second (Hz). The voltage is thus given by the equation E(t) = 165 sin(100xt), %3D where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of E( over one cycle. (a) Calculate the RMS voltage (in V) of household current. (Round your answer to the nearest whole number.) (b) Many electric stoves require an RMS voltage of 220 V. Find the corresponding amplitude A (in V) needed for the voltage E(t) = A sin(100xt). (Round your answer to the nearest whole number.) A = V

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